Wouldn't it first make more sense to assess whether the person is asking it in good faith or not (and when there is any doubt, assume it is and give a standard answer or at least link to one)?

Here's why:

Person A does not have good faith. "They don't know what a woman is!", claims A

Person B isn't paying much attention to the issue, but hears person A sounding really confident. Huh. Maybe there's something fishy with trans activism.

Person B decides to try it out. "How do you define woman?" asks B.

Person B receives a torrent of hostility and charges of bad faith, but no answers.

Person B concludes that A was correct: trans activists are deranged extremists.

Maybe you aren't the one to provide the answer--you shouldn't have to--but I think there is the above danger in assuming the question is in bad faith.